عنوان

Symmetric discontinuous Galerkin approximations of 1-D waves :

شابک

1461458110 (electronic bk.)

شابک

9781461458111 (electronic bk.)

شابک اشتباه

9781461458104

شماره

dltt

عنوان اصلي

Symmetric discontinuous Galerkin approximations of 1-D waves :

نام عام مواد

[Book]

ساير اطلاعات عنواني

Fourier analysis, propagation, observability and applications /

نام نخستين پديدآور

by Aurora Marica, Enrique Zuazua

نام خاص و کميت اثر

1 online resource.

عنوان فروست

SpringerBriefs in mathematics

متن يادداشت

1. Preliminaries -- 2. Discontinuous Galerkin approximations and main results -- 3. Bibliographical notes -- 4. Fourier analysis of the DG methods -- 5. Non-uniform observability for DG approximations of waves -- 6. Filtering mechanisms -- 7. Extensions to other numerical approximation schemes -- 8. Comments and open problems -- A technical proof -- References

بدون عنوان

0

متن يادداشت

This workdescribes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform meshes. First,a careful Fourier analysis is constructed, highlightingthe coexistence of two Fourier spectral branches or spectral diagrams (physical and spurious) related to the two components of the numerical solution (averages and jumps). Efficient filtering mechanisms are also developedby means of techniques previously proved to be appropriate for classical schemes like finite differences or P1-classical finite elements. In particular,the work presents a proof thatthe uniform observability property is recovered uniformly by considering initial data with null jumps and averages given by a bi-grid filtering algorithm. Finally, the bookexplains how theseresults can be extended to other more sophisticated conforming and non-conforming finite element methods, in particular to quadratic finiteelements, local discontinuous Galerkin methods and a version of the SIPG method adding penalization on the normal derivatives of the numerical solution at the grid points. This work is the first publication tocontaina rigorous analysis of the discontinuous Galerkin methods for wave control problems. It will be of interest to a range of researchers specializing inwave approximations

عنوان

Symmetric discontinuous Galerkin approximations of 1-D waves

شماره استاندارد بين المللي کتاب و موسيقي

9781461458104

موضوع مستند نشده

Approximation theory.

موضوع مستند نشده

Galerkin methods.

موضوع مستند نشده

Waves-- Mathematics.

موضوع مستند نشده

SCI-- 024000

موضوع مستند نشده

SCI-- 041000

موضوع مستند نشده

SCI-- 055000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Marica, Aurora

مستند نام اشخاص تاييد نشده

Zuazua, E., (Enrique)

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network.

تاريخ عمليات

20210107074555.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y